Computational Algebra Seminar: Pohst -- On computing integral points of Mordell curves over global fields

In his 1997 thesis K. Wildanger developed an efficient
method for computing such points over the rational
integers. We improve and generalize his ideas. Replacing
his methods from the geometry of numbers by a class field
theoretic approach based on Hasse we expect to get a
much more powerful algorithm. (This is a report on work
in progress.)